Q. Arun traveled \u2018K\u2019 km with speed of S km\/h in 2.5 hours. Varun traveled twice the distance traveled by Arun in 3 hours 20 minutes, while Tarun traveled (2K \u2013 40) km in 10 hours. Speed of Varun is 4M km\/h more than Arun, while speed of Tarun, Arun and Varun are in increasing AP (Same order). Speed of Tarun is_______km\/h.<\/p>\n\n\n\n
I. 4M km\/h<\/p>\n\n\n\n
II. S\/2 km\/h<\/p>\n\n\n\n
III. 2S\/3 km\/h<\/p>\n\n\n\n
A. I only<\/p>\n\n\n\n
B. II only<\/p>\n\n\n\n
C. III only<\/p>\n\n\n\n
D. I and II only<\/p>\n\n\n\n
E. None of these<\/p>\n\n\n\n
Ans: I and II only<\/p>\n\n\n\n
Sol:<\/p>\n\n\n\n
According to Question,
K = S x 2.5\u2026\u2026\u2026\u2026\u2026. (1)
2K = (S + 4M) x 10\/3\u2026\u2026\u2026\u2026\u2026 (2)
2 x S x 2.5 = (S + 4M) x 10\/3
3S = 2S + 8M
S = 8M
Speed of Arun = 8M
Speed of Varun = 8M + 4M = 12M
Speed of Tarun, Arun and Varun are in
increasing AP (in same order)
So, speed of Tarun = 8M \u2013 4M<\/p>\n\n\n\n
So, Only I and II follows
Hence answer is option D.<\/p>\n","protected":false},"excerpt":{"rendered":"
Q. Arun traveled \u2018K\u2019 km with speed of S km\/h in 2.5 hours. Varun traveled twice the distance traveled by Arun in 3 hours 20 minutes, while Tarun traveled (2K \u2013 40) km in 10 hours. Speed of Varun is 4M km\/h more than Arun, while speed of Tarun, Arun and Varun are in increasing […]<\/p>\n","protected":false},"author":419,"featured_media":162683,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5138],"tags":[5139],"class_list":["post-162682","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantitative-aptitude","tag-quantitative-aptitude"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162682","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=162682"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162682\/revisions"}],"predecessor-version":[{"id":162684,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162682\/revisions\/162684"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/162683"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=162682"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=162682"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=162682"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}